We bought this camera for my mum for Christmas. It's similar in specs to the DCS-P93 but has a larger (2.5" rather than 1.5") screen. It's also squarer than the P93 which makes it easier to handle.
As for Linux support, the DSC-W1 works exactly the same as the DSC-P93. It works using the DSC-P92 driver with gPhoto (and probably with any PTP driver for that matter). Like the P93, you need to set the mode to PTP after connecting the USB cable.